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Finding the Fourth Proportional to 366.78, 549.96 and 269.22

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Solution

The fourth proportional to 366.78, 549.96 and 269.22 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 549.96 = 269.22 : x
  2. Step 2: Convert to fraction form
    366.78/549.96 = 269.22/x
  3. Step 3: Cross multiply
    366.78x = 549.96 × 269.22
  4. Step 4: Simplify right side
    366.78x = 148,060.23
  5. Step 5: Solve for x
    x = 148,060.23/366.78
  6. Step 6: Final answer
    x = 403.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.